Question

Simplify the following
a) (8+root5) (8-root5)

Answer 1

Correct Question :

Simplify the following

(8 + √5)(8 - √5)

$\rule{170}2$

AnswEr :

$\sf\ : \implies\ (8 + \sqrt{5})(8 - \sqrt{5}) \\\\\\\scriptsize\qquad\dag\sf\ Identity: \: (a+b)(a-b) = a^2 - b^2 \\\\\\\sf\ : \implies\ (8)^2 - (\sqrt{5})^2\\\\\\\sf\ : \implies\ 64 - 5 \\\\\\\sf\ : \implies\ 61$

$\rule{150}2$

$\boxed{\begin{minipage}{6 cm}\bf{\dag}\:\:\underline{\text{Important Algebric Identities :}}\\\\\bigstar\:\:\sf(a+b)^2= a^2 + b^2 + 2ab\\\\\bigstar\:\:\sf(a -b)^2 = a^2 + b^2 - 2ab \\\\\bigstar\:\:\sf(a+b)(a-b) = a^2 - b^2\\\\\bigstar\:\:\sf(x </p><p>+a)(x+b) = x^2 + (a+b)x + ab\end{minipage}}$

Answer 2

Simplify the following

a) (8+root5) (8-root5)